Combinations Vs. Permutations in Probability & Statistics? - [2]

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In this lesson, you will learn how to calculate the combinations for a sequence of data and determine how the number of combinations differ from the permutations that we learned in a previous lesson. a combination is the number of ways objects can be ordered without regard to the order of selection of the objects. In other words, a selection of all or part of a set of objects or numbers, without regard to the order in which they are selected from the pool. For example, if we have 3 letters but only take them two at a time, we can calculate how many combinations in which we can make the selections.

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[@LanNguyen-ud7fy]

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[@user-qx2nf2kj2e]

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[@marthachristyamadi25]

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[@majakmajokkhon6770]

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[@orechchristopher18]

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[@Champagneyear]

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[@NeeChee100]

In the video about permutations, I don't understand how the 6 pictures hanging on the wall are permutations, because the order didn't matter. I thought that would be a combination.

[@yuusufliibaan1380]

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[@colinlee9678]

How do we prove that the number of combinations is always a positive integer?

[@Abijo25]

Given a question which states that

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[@marthachristyamadi25]

Please can you help me with this question. 3. In a fuel economy study, each of 3 race cars is tested using 5 different brands of gasoline at 7 test sites located in different regions of the country. If 2 drivers are used in the study, and test runs are made once un- der each distinct set of conditions, how many test runs are needed